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Finding the Fourth Proportional to 31,154.90, 46,751.85 and 12,432.15

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Solution

The fourth proportional to 31,154.90, 46,751.85 and 12,432.15 is: 18,656.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,154.90 : 46,751.85 = 12,432.15 : x
  2. Step 2: Convert to fraction form
    31,154.90/46,751.85 = 12,432.15/x
  3. Step 3: Cross multiply
    31,154.90x = 46,751.85 × 12,432.15
  4. Step 4: Simplify right side
    31,154.90x = 581,226,011.98
  5. Step 5: Solve for x
    x = 581,226,011.98/31,154.90
  6. Step 6: Final answer
    x = 18,656.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.